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ycow [4]
3 years ago
11

10. How many cubic inches of material do you need to make a solid rubber ball with a diameter of 3 in.? Round your answer to two

decimal places.
Mathematics
2 answers:
Whitepunk [10]3 years ago
6 0

Answer:

14.14 cu in.

Step-by-step explanation:

ale4655 [162]3 years ago
3 0
What is asked in the problem is simply the volume of the solid rubber ball. The volume of sphere given the diameter may be calculated by,
  
                               V = πd^3 / 6

Substituting the given value of diameter, 
 
                               V = (π x 3³) / 6 = 9π/2 or 14.14

Thus, one needs approximately 14.14 in³ of material. 

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1 point
Dimas [21]

Answer:

The simplest radical form is 9\sqrt{5} ⇒ (c)

Step-by-step explanation:

To simplify any square root;

  • Factorize the number under the root using prime numbers
  • Take out the root any number repeated twice as one number

<em><u /></em>

<em><u>Examples:</u></em>

1. Simplify \sqrt{8}

factorize 8 using prime numbers

8 = 2 × 2 × 2, then \sqrt{8}=\sqrt{(2)(2)(2)}

Take two of 2 out the root, then \sqrt{8}=2\sqrt{2}

2. Simplify \sqrt{18}

factorize 18 using prime numbers

18 = 2 × 3 × 3, then \sqrt{18}=\sqrt{(2)(3)(3)}

Take the two 3 out the root, then \sqrt{18}=3\sqrt{2}

Let us simplify 3\sqrt{45}

∵ 45 = 3 × 3 × 5

∴ 3\sqrt{45}=3\sqrt{(3)(3)(5)}

→ Take the two 3 out by one 3

∴  3\sqrt{45}=3(3)\sqrt{5}

→ Multiply the numbers out the root

∴ 3\sqrt{45}=9\sqrt{5}

∴ The simplest radical form is 9\sqrt{5}

8 0
3 years ago
Round 60488 to the nearest ten thousand
ANTONII [103]
60,000 would be the answer because it stays the same if under 5 it stays if above 5 rounds up once
4 0
3 years ago
Read 2 more answers
at maximum speed , an airplane travels 1680 miles against the wind in 5 hours flying with the wind , the plane can travel the sa
Westkost [7]
X = velocity of plane
y = velocity of wind

x - y = 1680/5 = 336 mph .....(1) [ plane flying against the wind]
&
x + y = 1680/4 = 420 mph....(2) [ plane flying with the wind]

Adding (1) and (2) to eliminate y gives

2x = 756
x = 378 mph is the speed of the plane with no wind.
3 0
3 years ago
Read 2 more answers
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andrezito [222]

We shall first of all, convert all the numbers to the same base. This means we either;

Convert the fractions to decimals OR

Convert the decimals to fractions

Let us therefore convert the decimals to fractions.

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5 0
1 year ago
Mary bought these art supplies: 4 paint brushes @ $1.29 each, 6 dowel rods @ $1.49 each, a jar of paste @ $1.25, and 2 canvases
Sophie [7]

Answer:

Option (1) is correct

The amount she receives back from $40 is  $12.65

Step-by-step explanation:

Given: Mary bought the art supplies.

4 paint brushes @ $1.29 each, 6 dowel rods @ $1.49 each, a jar of paste @ $1.25, and 2 canvases @ $6.00 each.

We have to find the change she get from $40.

We first find the total cost of the art supplies.

Since, she brought 4 paint brushes @ $1.29 each,

Thus, cost of 4 paint brush is  1.29 × 4 = $5.16

Also, 6 dowel rods @ $1.49 each,

Thus, cost of 6 dowel rods is  1.49 × 6 = $8.94

Thus, cost of 1 jar of paste  is $1.25

and 2 canvases @ $6.00 each

Thus, cost of 2 canvases  is $12.00

Thus, total cost of art supplies = 5.16 + 8.94 + 1.25 + 12 =$27.35

Thus, amount she receives back from $40 is $40 - $12.35 = $12.65

4 0
2 years ago
Read 2 more answers
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